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Finding the Fourth Proportional to 1,576.94, 2,176.90 and 913.66

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Solution

The fourth proportional to 1,576.94, 2,176.90 and 913.66 is: 1,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.94 : 2,176.90 = 913.66 : x
  2. Step 2: Convert to fraction form
    1,576.94/2,176.90 = 913.66/x
  3. Step 3: Cross multiply
    1,576.94x = 2,176.90 × 913.66
  4. Step 4: Simplify right side
    1,576.94x = 1,988,938.73
  5. Step 5: Solve for x
    x = 1,988,938.73/1,576.94
  6. Step 6: Final answer
    x = 1,261.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.